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Applied Spectral Analysis

In: Nonlinearities in Economics

Author

Listed:
  • Fabio Della Rossa

    (University of Naples “Federico II”, Department of Electrical Engineering and Information Technology
    Information and Bioengineering)

  • Julio Guerrero

    (University of Jaén, Department of Mathematics)

  • Giuseppe Orlando

    (University of Bari, Department of Economics and Finance
    University of Camerino, School of Sciences and Technology)

  • Giovanni Taglialatela

    (University of Bari, Department of Economics and Finance)

Abstract

In this chapter, we first explain what we mean by a signal, and then we describe some characteristics such as energy, frequency, phase, power spectrum, etc. We show how to analyse it by the means of spectral analysis and Fourier transform. Moreover, as the Fourier transform does not provide any information about the time at which each frequency appears, we explain how to deal with this problem with the Gabor and wavelet transform.

Suggested Citation

  • Fabio Della Rossa & Julio Guerrero & Giuseppe Orlando & Giovanni Taglialatela, 2021. "Applied Spectral Analysis," Dynamic Modeling and Econometrics in Economics and Finance, in: Giuseppe Orlando & Alexander N. Pisarchik & Ruedi Stoop (ed.), Nonlinearities in Economics, chapter 0, pages 123-139, Springer.
    • Handle: RePEc:spr:dymchp:978-3-030-70982-2_9
    DOI: 10.1007/978-3-030-70982-2_9
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